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Carlyle Inc. is considering two mutually exclusive projects. Both require an initial investment of $15,000 at t = 0. Project S has an expected life of 2 years with after-tax cash inflows of $7,000 and $12,000 at the end of Years 1 and 2, respectively. In addition, Project S can be repeated at the end of Year 2 with no changes in its cash flows. Project L has an expected life of 4 years with after-tax cash inflows of $5,200 at the end of each of the next 4 years. Each project has a WACC of 9.00%. What is the equivalent annual annuity of the most profitable project?


A) $ 569.97
B) $ 782.34
C) $ 865.31
D) $1,522.18
E) $1,846.54

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Which of the following statements is CORRECT?


A) If a firm is found guilty of cannibalization in a court of law, then it is judged to have taken unfair advantage of its competitors. Thus, cannibalization is dealt with by society through the antitrust laws.
B) If a firm is found guilty of cannibalization in a court of law, then it is judged to have taken unfair advantage of its customers. Thus, cannibalization is dealt with by society through the antitrust laws.
C) If cannibalization exists, then the cash flows associated with the project must be increased to offset these effects. Otherwise, the calculated NPV will be biased downward.
D) If cannibalization is determined to exist, then this means that the calculated NPV if cannibalization is considered will be higher than the NPV if this effect is not recognized.
E) Cannibalization, as described in the text, is a type of externality that is not against the law, and any harm it causes is done to the firm itself.

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Typically, a project will have a higher NPV if the firm uses accelerated rather than straight-line depreciation. This is because the total cash flows over the project's life will be higher if accelerated depreciation is used, other things held constant.

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The primary advantage to using accelerated rather than straight-line depreciation is that with accelerated depreciation the present value of the tax savings provided by depreciation will be higher, other things held constant.

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Wilson Co. is considering two mutually exclusive projects. Both require an initial investment of $10,000 at t = 0. Project X has an expected life of 2 years with after-tax cash inflows of $6,000 and $8,500 at the end of Years 1 and 2, respectively. In addition, Project X can be repeated at the end of Year 2 with no changes in its cash flows. Project Y has an expected life of 4 years with after-tax cash inflows of $4,600 at the end of each of the next 4 years. Each project has a WACC of 11%. What is the equivalent annual annuity of the most profitable project?


A) $1,345.50
B) $1,346.30
C) $1,361.52
D) $1,376.74
E) $1,411.15

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The two methods discussed in the text for dealing with unequal project lives are (1) the replacement chain approach and (2) the equivalent annual annuity (EAA) approach.

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Replacement chain or EAA analysis is required when analyzing projects that have different lives. This is true regardless of whether the projects are mutually exclusive or independent of one another.

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Atlas Corp. is considering two mutually exclusive projects. Both require an initial investment of $10,000 at t = 0. Project S has an expected life of 2 years with after-tax cash inflows of $6,000 and $8,000 at the end of Years 1 and 2, respectively. Project L has an expected life of 4 years with after-tax cash inflows of $4,373 at the end of each of the next 4 years. Each project has a WACC of 9.25%, and Project S can be repeated with no changes in its cash flows. The controller prefers Project S, but the CFO prefers Project L. How much value will the firm gain or lose if Project L is selected over Project S, i.e., what is the value of NPVL - NPVS?


A) $56.50
B) $62.15
C) $68.37
D) $75.21
E) $82.73

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As assistant to the CFO of Boulder Inc., you must estimate the Year 1 cash flow for a project with the following data. What is the Year 1 cash flow?


A) $5,950
B) $6,099
C) $6,251
D) $6,407
E) $6,568

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Because of improvements in forecasting techniques, estimating the cash flows associated with a project has become the easiest step in the capital budgeting process.

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Which of the following statements is CORRECT?


A) A sunk cost is any cost that must be expended in order to complete a project and bring it into operation.
B) A sunk cost is any cost that was expended in the past but can be recovered if the firm decides not to go forward with the project.
C) A sunk cost is a cost that was incurred and expensed in the past and cannot be recovered if the firm decides not to go forward with the project.
D) Sunk costs were formerly hard to deal with, but once the NPV method came into wide use, it became possible to simply include sunk costs in the cash flows and then calculate the project's NPV.
E) A good example of a sunk cost is a situation where Home Depot opens a new store, and that leads to a decline in sales of one of the firm's existing stores.

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Thomson Media is considering some new equipment whose data are shown below. The equipment has a 3-year tax life and would be fully depreciated by the straight-line method over 3 years, but it would have a positive pre-tax salvage value at the end of Year 3, when the project would be closed down. Also, additional net operating working capital would be required, but it would be recovered at the end of the project's life. Revenues and other operating costs are expected to be constant over the project's 3-year life. What is the project's NPV?


A) $20,762
B) $21,854
C) $23,005
D) $24,155
E) $25,363

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Although the replacement chain approach is appealing for dealing with mutually exclusive projects that have different lives, it is not used in practice because no projects meet the assumptions the method requires.

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In cash flow estimation, the existence of externalities should be taken into account if those externalities have any effects on the firm's long-run cash flows.

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We can identify the cash costs and cash inflows to a company that will result from a project. These could be called "direct inflows and outflows," and the net difference is the direct net cash flow. If there are other costs and benefits that do not flow from or to the firm, but to other parties, these are called externalities, and they need not be considered as a part of the capital budgeting analysis.

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Poulsen Industries is analyzing an average-risk project, and the following data have been developed. Unit sales will be constant, but the sales price should increase with inflation. Fixed costs will also be constant, but variable costs should rise with inflation. The project should last for 3 years, it will be depreciated on a straight-line basis, and there will be no salvage value. No change in net operating working capital would be required. This is just one of many projects for the firm, so any losses on this project can be used to offset gains on other firm projects. The marketing manager does not think it is necessary to adjust for inflation since both the sales price and the variable costs will rise at the same rate, but the CFO thinks an inflation adjustment is required. What is the difference in the expected NPV if the inflation adjustment is made versus if it is not made?


A) $12,018
B) $12,650
C) $13,316
D) $13,982
E) $14,681

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Liberty Services is now at the end of the final year of a project. The equipment originally cost $22,500, of which 75% has been depreciated. The firm can sell the used equipment today for $6,000, and its tax rate is 40%. What is the equipment's after-tax salvage value for use in a capital budgeting analysis? Note that if the equipment's final market value is less than its book value, the firm will receive a tax credit as a result of the sale.


A) $5,558
B) $5,850
C) $6,143
D) $6,450
E) $6,772

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When evaluating a new project, firms should include in the projected cash flows all of the following EXCEPT:


A) Changes in net operating working capital attributable to the project.
B) Previous expenditures associated with a market test to determine the feasibility of the project, provided those costs have been expensed for tax purposes.
C) The value of a building owned by the firm that will be used for this project.
D) A decline in the sales of an existing product, provided that decline is directly attributable to this project.
E) The salvage value of assets used for the project that will be recovered at the end of the project's life.

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Your company, RMU Inc., is considering a new project whose data are shown below. What is the project's Year 1 cash flow? Sales revenues $22,250 Depreciation $8,000 Other operating costs $12,000 Tax rate 35.0%


A) $ 8,903
B) $ 9,179
C) $ 9,463
D) $ 9,746
E) $10,039

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It is extremely difficult to estimate the revenues and costs associated with large, complex projects that take several years to develop. This is why subjective judgment is often used for such projects along with discounted cash flow analysis.

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